Whakaoti i te 1div8+1/8=1/16+x

$$1 \div 8 + \frac { 1 } { 8 } = \frac { 1 } { 16 } + x$$

Whakaoti mō x

$$x=\frac{3}{16}=0.1875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tā te mea he rite te tauraro o \frac{1}{8} me \frac{1}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+1}{8}=\frac{1}{16}+x$$

Tāpirihia te 1 ki te 1, ka 2.

$$\frac{2}{8}=\frac{1}{16}+x$$

Whakahekea te hautanga \frac{2}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{4}=\frac{1}{16}+x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{1}{16}+x=\frac{1}{4}$$

Tangohia te \frac{1}{16} mai i ngā taha e rua.

$$x=\frac{1}{4}-\frac{1}{16}$$

Ko te maha noa iti rawa atu o 4 me 16 ko 16. Me tahuri \frac{1}{4} me \frac{1}{16} ki te hautau me te tautūnga 16.

$$x=\frac{4}{16}-\frac{1}{16}$$

Tā te mea he rite te tauraro o \frac{4}{16} me \frac{1}{16}, me tango rāua mā te tango i ō raua taurunga.

$$x=\frac{4-1}{16}$$

Tangohia te 1 i te 4, ka 3.

$$x=\frac{3}{16}$$